A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 cm2. Find the perimeter of the rectangle (in cm). |
40 38 36 32 |
36 |
Short side = S Long side = L L = S+2 Area = L*S = (S+2)*S = S2 + 2S = 80 S2 + 2S - 80 = 0 S2 + 10S - 8S - 80 = 0 S(S+10)-8(S+10) = 0 S = 8 L = 10 Perimeter = 2*(10+8) = 36 The correct answer is Option (3) → 36 |